Multiply the second equation by 2 to get 6x
We get 6x + 12y = 24
Use it to subtract the first equation, then because x is the same it gets canceled.
We get 7y = 7
y = 1
Substitute y back to the first equation, then we get 6x + 5 = 17
6x = 12
x = 2
Therefore, x = 2, y = 1

Algebra

TutorMe

Question:

Find the slope of a line 6x + 3y = 4.

Sophie W.

Answer:

A slope of a line is the ratio of y change to x change.
Therefore, we move y to the left and the rest to the right.
3y = 4 - 6x
And divide both sides by three so the equation is still balanced.
Y = 4/3 - 2x
With every increase of 1 in y, x decreases by 2.
Therefore we know the slope is y change (1) over x change (-2), that is -1/2

Send a message explaining yourneeds and Sophie will reply soon.

Contact Sophie

Ready now? Request a lesson.

Start Session

FAQs

What is a lesson?

A lesson is virtual lesson space on our platform where you and a tutor can communicate.
You'll have the option to communicate using video/audio as well as text chat.
You can also upload documents, edit papers in real time and use our cutting-edge virtual whiteboard.

How do I begin a lesson?

If the tutor is currently online, you can click the "Start Session" button above.
If they are offline, you can always send them a message to schedule a lesson.

Who are TutorMe tutors?

Many of our tutors are current college students or recent graduates of top-tier universities
like MIT, Harvard and USC.
TutorMe has thousands of top-quality tutors available to work with you.